12a
0526
(K12a
0526
)
A knot diagram
1
Linearized knot diagam
3 7 8 9 1 2 6 11 12 4 5 10
Solving Sequence
2,7
3 1 6 8
4,11
9 5 10 12
c
2
c
1
c
6
c
7
c
3
c
8
c
5
c
10
c
12
c
4
, c
9
, c
11
Ideals for irreducible components
2
of X
par
I
u
1
= h1.43587 × 10
35
u
107
+ 2.94893 × 10
35
u
106
+ ··· + 6.98068 × 10
34
b + 3.66969 × 10
35
,
3.25085 × 10
35
u
107
+ 4.64698 × 10
35
u
106
+ ··· + 6.98068 × 10
34
a + 7.03973 × 10
34
, u
108
+ 2u
107
+ ··· + 3u + 1i
I
u
2
= hb + 1, −u
2
+ a − u, u
3
+ u
2
− 1i
* 2 irreducible components of dim
C
= 0, with total 111 representations.
1
The image of knot diagram is generated by the software “Draw programme” developed by An-
drew Bartholomew(http://www.layer8.co.uk/maths/draw/index.htm#Running-draw), where we modi-
fied some parts for our purpose(https://github.com/CATsTAILs/LinksPainter).
2
All coefficients of polynomials are rational numbers. But the coefficients are sometimes approximated
in decimal forms when there is not enough margin.
1
I. I
u
1
= h1.44 × 10
35
u
107
+ 2.95 × 10
35
u
106
+ · · · + 6.98 × 10
34
b + 3.67 ×
10
35
, 3.25 × 10
35
u
107
+ 4.65 × 10
35
u
106
+ · · · + 6.98 × 10
34
a + 7.04 ×
10
34
, u
108
+ 2u
107
+ · · · + 3u + 1i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
u
2
a
1
=
−u
2
+ 1
−u
4
a
6
=
u
u
a
8
=
−u
3
−u
3
+ u
a
4
=
−u
8
+ u
6
− u
4
+ 1
−u
8
+ 2u
6
− 2u
4
+ 2u
2
a
11
=
−4.65692u
107
− 6.65692u
106
+ ··· − 6.39711u − 1.00846
−2.05692u
107
− 4.22441u
106
+ ··· − 16.7623u − 5.25692
a
9
=
0.622547u
107
+ 1.02255u
106
+ ··· − 3.55169u + 0.111274
0.222547u
107
− 0.380109u
106
+ ··· + 1.75637u + 0.622547
a
5
=
−u
7
+ 2u
5
− 2u
3
+ 2u
−u
9
+ u
7
− u
5
+ u
a
10
=
−5.78807u
107
− 9.58807u
106
+ ··· + 0.732755u − 0.554037
−3.18807u
107
− 5.54842u
106
+ ··· − 14.3702u − 4.78807
a
12
=
−5.68213u
107
− 9.28213u
106
+ ··· − 0.971272u − 0.00106654
−3.28213u
107
− 5.84102u
106
+ ··· − 14.0053u − 4.68213
(ii) Obstruction class = −1
(iii) Cusp Shapes = −3.18066u
107
− 12.3213u
106
+ ··· − 15.7876u − 9.30066
2
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
7
u
108
+ 38u
107
+ ··· + 7u + 1
c
2
, c
6
u
108
− 2u
107
+ ··· − 3u + 1
c
3
, c
5
u
108
+ 2u
107
+ ··· + 9913u + 8017
c
4
u
108
− 2u
107
+ ··· + u − 1
c
8
u
108
− 17u
107
+ ··· − 20u + 8
c
9
, c
12
u
108
+ 4u
107
+ ··· − 28u − 1
c
10
u
108
+ 3u
107
+ ··· + 1284u + 109
c
11
u
108
+ u
107
+ ··· + 54u + 1
3
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
7
y
108
+ 66y
107
+ ··· + 49y + 1
c
2
, c
6
y
108
− 38y
107
+ ··· − 7y + 1
c
3
, c
5
y
108
− 78y
107
+ ··· − 1545833123y + 64272289
c
4
y
108
− 14y
107
+ ··· − 7y + 1
c
8
y
108
− 21y
107
+ ··· − 2256y + 64
c
9
, c
12
y
108
− 64y
107
+ ··· − 780y + 1
c
10
y
108
+ 105y
107
+ ··· + 224182y + 11881
c
11
y
108
+ 97y
107
+ ··· − 3282y + 1
4
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.597771 + 0.813650I
a = 2.47839 + 0.85182I
b = 2.57699 − 1.74065I
0.91550 − 12.81660I 0
u = −0.597771 − 0.813650I
a = 2.47839 − 0.85182I
b = 2.57699 + 1.74065I
0.91550 + 12.81660I 0
u = −0.586515 + 0.785999I
a = −2.58131 − 1.17591I
b = −2.78106 + 1.56187I
−2.76135 − 6.51854I 0
u = −0.586515 − 0.785999I
a = −2.58131 + 1.17591I
b = −2.78106 − 1.56187I
−2.76135 + 6.51854I 0
u = 0.614242 + 0.813810I
a = 1.370720 − 0.107661I
b = 0.98107 + 1.24217I
−0.36628 + 4.95266I 0
u = 0.614242 − 0.813810I
a = 1.370720 + 0.107661I
b = 0.98107 − 1.24217I
−0.36628 − 4.95266I 0
u = 0.993276 + 0.256239I
a = 0.048345 + 0.497832I
b = −0.417849 + 0.962950I
−0.21980 + 2.28779I 0
u = 0.993276 − 0.256239I
a = 0.048345 − 0.497832I
b = −0.417849 − 0.962950I
−0.21980 − 2.28779I 0
u = −0.607429 + 0.758889I
a = 1.10687 − 1.94850I
b = −0.65726 − 1.68774I
2.45525 − 4.40691I 0
u = −0.607429 − 0.758889I
a = 1.10687 + 1.94850I
b = −0.65726 + 1.68774I
2.45525 + 4.40691I 0
5
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.967017 + 0.354553I
a = 0.685909 + 0.472926I
b = 1.49049 + 0.16949I
0.30361 + 8.27780I 0
u = −0.967017 − 0.354553I
a = 0.685909 − 0.472926I
b = 1.49049 − 0.16949I
0.30361 − 8.27780I 0
u = 0.557597 + 0.778279I
a = −1.43951 + 0.23035I
b = −1.35512 − 1.16412I
−2.06069 + 1.57945I 0
u = 0.557597 − 0.778279I
a = −1.43951 − 0.23035I
b = −1.35512 + 1.16412I
−2.06069 − 1.57945I 0
u = 0.862517 + 0.409462I
a = 0.385572 − 0.577994I
b = 0.641697 − 0.857621I
−1.97653 − 1.26355I 0
u = 0.862517 − 0.409462I
a = 0.385572 + 0.577994I
b = 0.641697 + 0.857621I
−1.97653 + 1.26355I 0
u = −0.625012 + 0.720883I
a = 3.20428 + 0.82917I
b = 2.95448 − 1.87384I
3.68605 − 0.74056I 0
u = −0.625012 − 0.720883I
a = 3.20428 − 0.82917I
b = 2.95448 + 1.87384I
3.68605 + 0.74056I 0
u = 0.588671 + 0.741137I
a = 0.539890 − 1.301750I
b = 1.94501 − 1.70423I
0.76621 + 1.69194I 0
u = 0.588671 − 0.741137I
a = 0.539890 + 1.301750I
b = 1.94501 + 1.70423I
0.76621 − 1.69194I 0
6
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.815039 + 0.672331I
a = 1.30528 + 1.09070I
b = 1.63606 − 0.42604I
2.61814 + 2.06099I 0
u = −0.815039 − 0.672331I
a = 1.30528 − 1.09070I
b = 1.63606 + 0.42604I
2.61814 − 2.06099I 0
u = 0.791206 + 0.707863I
a = 1.242420 − 0.296906I
b = 0.289663 + 0.875878I
2.57323 + 1.47652I 0
u = 0.791206 − 0.707863I
a = 1.242420 + 0.296906I
b = 0.289663 − 0.875878I
2.57323 − 1.47652I 0
u = 1.06533
a = 1.87148
b = −1.09473
−1.61062 0
u = 1.083580 + 0.029651I
a = 0.428417 − 0.305662I
b = −0.275728 + 1.238730I
−3.22980 − 3.58406I 0
u = 1.083580 − 0.029651I
a = 0.428417 + 0.305662I
b = −0.275728 − 1.238730I
−3.22980 + 3.58406I 0
u = −1.091440 + 0.011709I
a = 0.73071 − 2.26932I
b = −0.154395 − 0.804597I
−4.77450 + 0.69884I 0
u = −1.091440 − 0.011709I
a = 0.73071 + 2.26932I
b = −0.154395 + 0.804597I
−4.77450 − 0.69884I 0
u = −0.856102 + 0.680324I
a = −3.16956 − 4.60118I
b = −6.17544 − 1.38034I
4.07616 + 2.62315I 0
7
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.856102 − 0.680324I
a = −3.16956 + 4.60118I
b = −6.17544 + 1.38034I
4.07616 − 2.62315I 0
u = −0.757826 + 0.790886I
a = 0.186346 − 0.810336I
b = −0.453992 − 0.337006I
6.40107 + 3.53173I 0
u = −0.757826 − 0.790886I
a = 0.186346 + 0.810336I
b = −0.453992 + 0.337006I
6.40107 − 3.53173I 0
u = 0.491909 + 0.756563I
a = −1.250010 + 0.380217I
b = −1.251750 − 0.642698I
−2.40500 + 1.31068I 0
u = 0.491909 − 0.756563I
a = −1.250010 − 0.380217I
b = −1.251750 + 0.642698I
−2.40500 − 1.31068I 0
u = 0.568811 + 0.700498I
a = 0.923748 + 0.518614I
b = −0.06859 + 2.30340I
0.504377 + 0.446786I 0
u = 0.568811 − 0.700498I
a = 0.923748 − 0.518614I
b = −0.06859 − 2.30340I
0.504377 − 0.446786I 0
u = 0.840437 + 0.708054I
a = −0.153381 + 0.428703I
b = −0.65198 + 1.39073I
6.23476 − 0.88816I 0
u = 0.840437 − 0.708054I
a = −0.153381 − 0.428703I
b = −0.65198 − 1.39073I
6.23476 + 0.88816I 0
u = −0.854464 + 0.254519I
a = −1.106020 + 0.127999I
b = −1.49389 + 0.29078I
−2.63759 + 3.47259I 0
8
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.854464 − 0.254519I
a = −1.106020 − 0.127999I
b = −1.49389 − 0.29078I
−2.63759 − 3.47259I 0
u = 0.794482 + 0.774864I
a = −1.360950 + 0.258430I
b = −0.607855 − 0.855698I
7.00651 + 6.05760I 0
u = 0.794482 − 0.774864I
a = −1.360950 − 0.258430I
b = −0.607855 + 0.855698I
7.00651 − 6.05760I 0
u = −0.888479 + 0.670392I
a = −0.101572 + 1.357190I
b = 1.25584 + 1.33718I
2.39366 + 3.13373I 0
u = −0.888479 − 0.670392I
a = −0.101572 − 1.357190I
b = 1.25584 − 1.33718I
2.39366 − 3.13373I 0
u = 1.112990 + 0.038874I
a = −1.58654 + 0.00313I
b = 0.786207 + 0.474131I
−8.68488 − 5.47508I 0
u = 1.112990 − 0.038874I
a = −1.58654 − 0.00313I
b = 0.786207 − 0.474131I
−8.68488 + 5.47508I 0
u = −1.111610 + 0.073871I
a = 0.639895 + 0.430578I
b = −0.517929 + 0.148112I
−6.60406 + 4.11832I 0
u = −1.111610 − 0.073871I
a = 0.639895 − 0.430578I
b = −0.517929 − 0.148112I
−6.60406 − 4.11832I 0
u = 0.872592 + 0.704880I
a = −1.305510 + 0.486497I
b = −0.426934 − 0.224892I
6.13711 − 4.51816I 0
9
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.872592 − 0.704880I
a = −1.305510 − 0.486497I
b = −0.426934 + 0.224892I
6.13711 + 4.51816I 0
u = 1.124510 + 0.063645I
a = 1.57274 − 0.13635I
b = −0.613678 − 0.384341I
−5.29137 − 11.81510I 0
u = 1.124510 − 0.063645I
a = 1.57274 + 0.13635I
b = −0.613678 + 0.384341I
−5.29137 + 11.81510I 0
u = −1.126880 + 0.022051I
a = −1.110330 − 0.281031I
b = 0.323711 − 0.092251I
−7.89299 + 0.30667I 0
u = −1.126880 − 0.022051I
a = −1.110330 + 0.281031I
b = 0.323711 + 0.092251I
−7.89299 − 0.30667I 0
u = 0.910555 + 0.696624I
a = −0.492712 − 0.518249I
b = 0.46169 − 1.56934I
2.21367 − 6.85953I 0
u = 0.910555 − 0.696624I
a = −0.492712 + 0.518249I
b = 0.46169 + 1.56934I
2.21367 + 6.85953I 0
u = −0.473057 + 0.701119I
a = −2.36399 + 0.29042I
b = −1.36106 + 1.67556I
−3.49363 + 3.85706I 0
u = −0.473057 − 0.701119I
a = −2.36399 − 0.29042I
b = −1.36106 − 1.67556I
−3.49363 − 3.85706I 0
u = −0.574655 + 0.620179I
a = 0.36588 + 2.18977I
b = 1.56918 + 0.62098I
1.73231 + 2.38348I 0
10
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.574655 − 0.620179I
a = 0.36588 − 2.18977I
b = 1.56918 − 0.62098I
1.73231 − 2.38348I 0
u = −0.405577 + 0.720122I
a = 2.06312 − 0.21038I
b = 1.22359 − 1.43875I
−0.19376 + 9.86627I 0. − 7.10519I
u = −0.405577 − 0.720122I
a = 2.06312 + 0.21038I
b = 1.22359 + 1.43875I
−0.19376 − 9.86627I 0. + 7.10519I
u = −0.878370 + 0.781985I
a = 0.025753 + 0.166614I
b = 0.282822 − 0.106686I
4.29469 + 2.93793I 0
u = −0.878370 − 0.781985I
a = 0.025753 − 0.166614I
b = 0.282822 + 0.106686I
4.29469 − 2.93793I 0
u = 1.027390 + 0.587354I
a = 0.53010 − 1.45772I
b = 1.12255 − 1.18580I
−3.46386 − 2.56925I 0
u = 1.027390 − 0.587354I
a = 0.53010 + 1.45772I
b = 1.12255 + 1.18580I
−3.46386 + 2.56925I 0
u = 0.928117 + 0.741160I
a = 0.337411 + 0.848534I
b = −0.58284 + 1.69048I
6.60007 − 11.77380I 0
u = 0.928117 − 0.741160I
a = 0.337411 − 0.848534I
b = −0.58284 − 1.69048I
6.60007 + 11.77380I 0
u = −1.011650 + 0.638671I
a = 1.67181 + 1.44667I
b = 2.93495 + 0.26954I
0.50905 + 2.66430I 0
11
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −1.011650 − 0.638671I
a = 1.67181 − 1.44667I
b = 2.93495 − 0.26954I
0.50905 − 2.66430I 0
u = −1.046890 + 0.594762I
a = −0.53509 + 2.74044I
b = 0.80652 + 2.79685I
−1.98888 − 4.93290I 0
u = −1.046890 − 0.594762I
a = −0.53509 − 2.74044I
b = 0.80652 − 2.79685I
−1.98888 + 4.93290I 0
u = −1.037180 + 0.621147I
a = 0.88395 − 2.99412I
b = −0.71547 − 3.33350I
−5.05757 + 1.20063I 0
u = −1.037180 − 0.621147I
a = 0.88395 + 2.99412I
b = −0.71547 + 3.33350I
−5.05757 − 1.20063I 0
u = −1.014490 + 0.664031I
a = −0.46293 + 4.23970I
b = 2.29950 + 4.29878I
2.53292 + 6.06945I 0
u = −1.014490 − 0.664031I
a = −0.46293 − 4.23970I
b = 2.29950 − 4.29878I
2.53292 − 6.06945I 0
u = 1.024620 + 0.648504I
a = −2.47570 − 1.16291I
b = −0.72033 − 2.52150I
−0.80282 − 5.66630I 0
u = 1.024620 − 0.648504I
a = −2.47570 + 1.16291I
b = −0.72033 + 2.52150I
−0.80282 + 5.66630I 0
u = −0.961973 + 0.739674I
a = −0.434326 − 0.081275I
b = −0.831220 + 0.339474I
5.78307 + 2.22906I 0
12
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = −0.961973 − 0.739674I
a = −0.434326 + 0.081275I
b = −0.831220 − 0.339474I
5.78307 − 2.22906I 0
u = 1.029530 + 0.662893I
a = 2.71706 − 1.51859I
b = 2.59884 + 0.37989I
−0.52575 − 7.05915I 0
u = 1.029530 − 0.662893I
a = 2.71706 + 1.51859I
b = 2.59884 − 0.37989I
−0.52575 + 7.05915I 0
u = 0.373115 + 0.678425I
a = 1.045530 − 0.419105I
b = 0.754473 + 0.291109I
−1.73113 − 2.17029I −6.14984 + 5.57417I
u = 0.373115 − 0.678425I
a = 1.045530 + 0.419105I
b = 0.754473 − 0.291109I
−1.73113 + 2.17029I −6.14984 − 5.57417I
u = 1.053960 + 0.631883I
a = −0.28333 + 1.98057I
b = −1.32023 + 1.65990I
−4.03502 − 6.55520I 0
u = 1.053960 − 0.631883I
a = −0.28333 − 1.98057I
b = −1.32023 − 1.65990I
−4.03502 + 6.55520I 0
u = −1.028400 + 0.673061I
a = −2.14664 + 0.43493I
b = −2.23064 + 1.87677I
1.20856 + 9.85607I 0
u = −1.028400 − 0.673061I
a = −2.14664 − 0.43493I
b = −2.23064 − 1.87677I
1.20856 − 9.85607I 0
u = 1.048640 + 0.664938I
a = 0.40775 + 2.24315I
b = −1.10078 + 2.26013I
−3.50445 − 7.03464I 0
13
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 1.048640 − 0.664938I
a = 0.40775 − 2.24315I
b = −1.10078 − 2.26013I
−3.50445 + 7.03464I 0
u = −1.043320 + 0.675778I
a = −0.08893 − 3.76415I
b = −2.70958 − 3.52447I
−4.11798 + 12.04070I 0
u = −1.043320 − 0.675778I
a = −0.08893 + 3.76415I
b = −2.70958 + 3.52447I
−4.11798 − 12.04070I 0
u = 1.043940 + 0.694354I
a = −0.59728 − 1.74412I
b = 0.72812 − 2.12482I
−1.65997 − 10.61880I 0
u = 1.043940 − 0.694354I
a = −0.59728 + 1.74412I
b = 0.72812 + 2.12482I
−1.65997 + 10.61880I 0
u = −1.049290 + 0.688773I
a = −0.18855 + 3.56370I
b = 2.32267 + 3.47589I
−0.4394 + 18.4589I 0
u = −1.049290 − 0.688773I
a = −0.18855 − 3.56370I
b = 2.32267 − 3.47589I
−0.4394 − 18.4589I 0
u = 0.706498
a = −0.0111555
b = −0.535397
−1.05404 −9.43790
u = −0.591090 + 0.373954I
a = 0.31083 + 2.36392I
b = 1.075670 + 0.841264I
1.75394 + 2.45459I −0.68718 − 7.90365I
u = −0.591090 − 0.373954I
a = 0.31083 − 2.36392I
b = 1.075670 − 0.841264I
1.75394 − 2.45459I −0.68718 + 7.90365I
14
Solutions to I
u
1
√
−1(vol +
√
−1CS) Cusp shape
u = 0.609979 + 0.110142I
a = 0.79231 − 1.59624I
b = −0.20225 + 1.68508I
0.682945 − 0.214746I 18.6792 − 10.7483I
u = 0.609979 − 0.110142I
a = 0.79231 + 1.59624I
b = −0.20225 − 1.68508I
0.682945 + 0.214746I 18.6792 + 10.7483I
u = −0.052506 + 0.610247I
a = −0.630009 + 1.005690I
b = 0.269341 − 0.259411I
2.98188 − 5.07563I 0.63916 + 5.59882I
u = −0.052506 − 0.610247I
a = −0.630009 − 1.005690I
b = 0.269341 + 0.259411I
2.98188 + 5.07563I 0.63916 − 5.59882I
u = 0.057854 + 0.400580I
a = 1.40916 − 1.04721I
b = −0.047273 − 0.137594I
−0.20071 − 1.41520I −2.43522 + 4.05127I
u = 0.057854 − 0.400580I
a = 1.40916 + 1.04721I
b = −0.047273 + 0.137594I
−0.20071 + 1.41520I −2.43522 − 4.05127I
u = −0.236398 + 0.289876I
a = 2.52381 + 0.86338I
b = 1.209010 − 0.646641I
2.61999 − 0.25288I 3.52663 − 3.05550I
u = −0.236398 − 0.289876I
a = 2.52381 − 0.86338I
b = 1.209010 + 0.646641I
2.61999 + 0.25288I 3.52663 + 3.05550I
15
II. I
u
2
= hb + 1, −u
2
+ a − u, u
3
+ u
2
− 1i
(i) Arc colorings
a
2
=
1
0
a
7
=
0
u
a
3
=
1
u
2
a
1
=
−u
2
+ 1
−u
2
− u + 1
a
6
=
u
u
a
8
=
u
2
− 1
u
2
+ u − 1
a
4
=
u
u
a
11
=
u
2
+ u
−1
a
9
=
u
2
− 1
u
2
+ u − 1
a
5
=
1
u
2
a
10
=
2u
2
+ 2u
u
2
+ u − 1
a
12
=
u
2
+ 2u + 1
0
(ii) Obstruction class = 1
(iii) Cusp Shapes = u
2
+ 4
16
(iv) u-Polynomials at the component
Crossings u-Polynomials at each crossing
c
1
, c
3
, c
4
u
3
− u
2
+ 2u − 1
c
2
u
3
+ u
2
− 1
c
5
, c
7
u
3
+ u
2
+ 2u + 1
c
6
u
3
− u
2
+ 1
c
8
u
3
c
9
(u + 1)
3
c
10
, c
11
u
3
− 2u
2
+ u − 1
c
12
(u − 1)
3
17
(v) Riley Polynomials at the component
Crossings Riley Polynomials at each crossing
c
1
, c
3
, c
4
c
5
, c
7
y
3
+ 3y
2
+ 2y −1
c
2
, c
6
y
3
− y
2
+ 2y −1
c
8
y
3
c
9
, c
12
(y −1)
3
c
10
, c
11
y
3
− 2y
2
− 3y −1
18
(vi) Complex Volumes and Cusp Shapes
Solutions to I
u
2
√
−1(vol +
√
−1CS) Cusp shape
u = −0.877439 + 0.744862I
a = −0.662359 − 0.562280I
b = −1.00000
4.66906 + 2.82812I 4.21508 − 1.30714I
u = −0.877439 − 0.744862I
a = −0.662359 + 0.562280I
b = −1.00000
4.66906 − 2.82812I 4.21508 + 1.30714I
u = 0.754878
a = 1.32472
b = −1.00000
0.531480 4.56980
19
III. u-Polynomials
Crossings u-Polynomials at each crossing
c
1
(u
3
− u
2
+ 2u − 1)(u
108
+ 38u
107
+ ··· + 7u + 1)
c
2
(u
3
+ u
2
− 1)(u
108
− 2u
107
+ ··· − 3u + 1)
c
3
(u
3
− u
2
+ 2u − 1)(u
108
+ 2u
107
+ ··· + 9913u + 8017)
c
4
(u
3
− u
2
+ 2u − 1)(u
108
− 2u
107
+ ··· + u − 1)
c
5
(u
3
+ u
2
+ 2u + 1)(u
108
+ 2u
107
+ ··· + 9913u + 8017)
c
6
(u
3
− u
2
+ 1)(u
108
− 2u
107
+ ··· − 3u + 1)
c
7
(u
3
+ u
2
+ 2u + 1)(u
108
+ 38u
107
+ ··· + 7u + 1)
c
8
u
3
(u
108
− 17u
107
+ ··· − 20u + 8)
c
9
((u + 1)
3
)(u
108
+ 4u
107
+ ··· − 28u − 1)
c
10
(u
3
− 2u
2
+ u − 1)(u
108
+ 3u
107
+ ··· + 1284u + 109)
c
11
(u
3
− 2u
2
+ u − 1)(u
108
+ u
107
+ ··· + 54u + 1)
c
12
((u − 1)
3
)(u
108
+ 4u
107
+ ··· − 28u − 1)
20
IV. Riley Polynomials
Crossings Riley Polynomials at each crossing
c
1
, c
7
(y
3
+ 3y
2
+ 2y −1)(y
108
+ 66y
107
+ ··· + 49y + 1)
c
2
, c
6
(y
3
− y
2
+ 2y −1)(y
108
− 38y
107
+ ··· − 7y + 1)
c
3
, c
5
(y
3
+ 3y
2
+ 2y −1)(y
108
− 78y
107
+ ··· − 1.54583 × 10
9
y + 6.42723 × 10
7
)
c
4
(y
3
+ 3y
2
+ 2y −1)(y
108
− 14y
107
+ ··· − 7y + 1)
c
8
y
3
(y
108
− 21y
107
+ ··· − 2256y + 64)
c
9
, c
12
((y −1)
3
)(y
108
− 64y
107
+ ··· − 780y + 1)
c
10
(y
3
− 2y
2
− 3y −1)(y
108
+ 105y
107
+ ··· + 224182y + 11881)
c
11
(y
3
− 2y
2
− 3y −1)(y
108
+ 97y
107
+ ··· − 3282y + 1)
21
